Prime p₀= 1020777157080647567 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: Dirk Broer
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1020775293923913061	0 6 22 46 70 88 102 120 268 286 300 318 342 366 382 388	-1863156734506
STPT(10)	1020775595845561079	0 2 18 20 30 32 42 44 60 62	-1561235086488
SPT(20)	1020775729358597963	0 14 18 24 60 84 90 98 186 200 234 248 336 344 350 374 410 416 420 434	-1427722049604
STPT(10)	1020776533263389597	0 2 60 62 102 104 144 146 204 206	-623817257970
SPT(16)	1020776803825901497	0 30 42 64 70 82 90 100 144 154 162 174 180 202 214 244	-353254746070
STPT(10)	1020777140964594449	0 2 42 44 60 62 78 80 120 122	-16116053118
STPT(10)	1020777287285202911	0 2 36 38 78 80 120 122 156 158	130204555344
SPT(16)	1020777473357116801	0 18 22 42 60 78 88 102 106 120 130 148 166 186 190 208	316276469234
STPT(10)	1020777658349496401	0 2 6 8 48 50 90 92 96 98	501268848834
SPT(16)	1020777870340430141	0 36 56 66 150 162 170 176 192 198 206 218 302 312 332 368	713259782574
STPT(12)	1020778009173856859	0 2 30 32 78 80 120 122 168 170 198 200	852093209292